Use f(x)= 5x+2,g(x)= 3-x, and h(x)= x-3 to answer items 1-8. find each function and simplify the function rule.
1.(f+g)(x)
2.(h+g(x)
3.(f-g)(x)
4.(h-f)(x)
5.(f×g)(x)
6.(g×h)(x)
7.(f÷g)(x), g(x)=0
8.(g÷h)(x), h(x)=0

Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =